Non-minimal coupling Gauss-Bonnet holographic superconductors

TL;DR

This paper investigates how non-minimal coupling between scalar and Maxwell fields affects holographic superconductors in a five-dimensional Gauss-Bonnet black hole background, revealing impacts on critical temperature and conductivity behavior.

Contribution

It introduces the effects of non-minimal coupling in Gauss-Bonnet holographic superconductors, analyzing critical temperature shifts and conductivity features in the probe limit.

Findings

Critical temperature decreases with larger Gauss-Bonnet coupling or smaller non-minimal coupling.

Low-frequency conductivity obeys Kramers-Kronig relations, high-frequency parts increase with constant slope.

Abstract

By employing the gauge/gravity duality, we disclose the effects of the non-minimal coupling between the scalar and Maxwell fields on the holographic superconductors in the probe limit. As the background spacetime, we consider a five dimensional Gauss-Bonnet (GB) black hole with a flat horizon. We find out that the critical temperature decreases for larger values of GB coupling constant or smaller values of non-minimal coupling constant, which means that the condensation is harder to form. In addition, we study the electrical conductivity in the holographic setup. We show that at low frequency regime, Kramers-Kronig relation connects both parts of conductivity to each other, while at high frequency, two parts go up with constant slope.